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Deviation from Bloch T3/2 law in ferrite nanoparticles

K. Mandal, Subarna Mitra and P. Anil Kumar

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The temperature dependence of saturation magnetization of ferrite nanoparticles has been studied to investigate the applicability of Bloch spin-wave theory to the finite-size systems. T3/2 law is valid above 75 K for the smallest ferrite particles obtained in this experiment having size of 2.5 nm. The region of validity of Bloch law increases at the lower-temperature end with the increase in particle size and interparticle interactions. The anomaly from the spin-wave theory has been observed with an upturn at low temperature, which can be explained by considering the quantization of spin-wave spectrum due to the finite size of the particles.


PACS

75.50.Gg Ferrimagnetics

75.30.Ds Spin waves

75.50.Tt Fine-particle systems; nanocrystalline materials

Subjects

Condensed matter: electrical, magnetic and optical

Nanoscale science and low-D systems

Dates

Issue 4 (August 2006)

Received 17 February 2006, accepted for publication 27 June 2006, in final form 27 June 2006

Published 12 July 2006



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